Final answer:
To find the concentration of the diluted solution, you can use the equation: C₁V₁ = C₂V₂. Plugging in the values, you find that the concentration of the diluted solution is 1 M.
Step-by-step explanation:
When you dilute a solution, you are adding more solvent to it, which decreases its concentration. In this case, you have 500 mL of a 3 M KOH solution and you add 1000 mL of distilled water to it. To find the concentration of the diluted solution, you can use the equation:
C₁V₁ = C₂V₂
where C₁ and V₁ are the initial concentration and volume, and C₂ and V₂ are the final concentration and volume. Plugging in the values, you get:
(3 M)(500 mL) = C₂(1500 mL)
Solving for C₂, you find that the concentration of the diluted solution is 1 M.